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Finding the Third Proportional to 2,080.69 and 2,748.94

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Solution

The third proportional to 2,080.69 and 2,748.94 is: 3,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 2,748.94 = 2,748.94 : x
  2. Step 2: Convert to fraction form
    2,080.69/2,748.94 = 2,748.94/x
  3. Step 3: Cross multiply
    2,080.69x = 2,748.94 × 2,748.94
  4. Step 4: Simplify right side
    2,080.69x = 7,556,657.38
  5. Step 5: Solve for x
    x = 7,556,657.38/2,080.69
  6. Step 6: Final answer
    x = 3,631.81

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.